11364561 has 24 divisors (see below), whose sum is σ = 17832360. Its totient is φ = 6932736.

The previous prime is 11364559. The next prime is 11364571. The reversal of 11364561 is 16546311.

11364561 is a `hidden beast` number, since 1 + 13 + 645 + 6 + 1 = 666.

11364561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 11350161 = 120^2 + 3369^2 .

It is not a de Polignac number, because 11364561 - 2¹ = 11364559 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15675 + ... + 16383.

It is an arithmetic number, because the mean of its divisors is an integer number (743015).

Almost surely, 2^11364561 is an apocalyptic number.

It is an amenable number.

11364561 is a deficient number, since it is larger than the sum of its proper divisors (6467799).

11364561 is a wasteful number, since it uses less digits than its factorization.

11364561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 11364561 is about 3371.1364552625. The cubic root of 11364561 is about 224.8282541223.

The spelling of 11364561 in words is "eleven million, three hundred sixty-four thousand, five hundred sixty-one".